Search a number
-
+
36688941 = 3217376481
BaseRepresentation
bin1000101111110…
…1010000101101
32120000222202200
42023331100231
533343021231
63350212113
7623564562
oct213752055
976028680
1036688941
1119789a43
1210354039
1377a7743
144c30869
15334abe6
hex22fd42d

36688941 has 24 divisors (see below), whose sum is σ = 57637944. Its totient is φ = 22394880.

The previous prime is 36688919. The next prime is 36688961. The reversal of 36688941 is 14988663.

It can be written as a sum of positive squares in 4 ways, for example, as 27562500 + 9126441 = 5250^2 + 3021^2 .

It is not a de Polignac number, because 36688941 - 29 = 36688429 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36688961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2421 + ... + 8901.

It is an arithmetic number, because the mean of its divisors is an integer number (2401581).

Almost surely, 236688941 is an apocalyptic number.

It is an amenable number.

36688941 is a deficient number, since it is larger than the sum of its proper divisors (20949003).

36688941 is a wasteful number, since it uses less digits than its factorization.

36688941 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6541 (or 6538 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 36688941 is about 6057.1396714951. The cubic root of 36688941 is about 332.2857564189.

The spelling of 36688941 in words is "thirty-six million, six hundred eighty-eight thousand, nine hundred forty-one".

Divisors: 1 3 9 17 37 51 111 153 333 629 1887 5661 6481 19443 58329 110177 239797 330531 719391 991593 2158173 4076549 12229647 36688941